Results 51 to 60 of about 119,366,956 (291)

A priori bounds of the solution of a one point IBVP for a singular fractional evolution equation

Advances in Difference Equations, 2020
A priori bounds constitute a crucial and powerful tool in the investigation of initial boundary value problems for linear and nonlinear fractional and integer order differential equations in bounded domains.
Said Mesloub, Hassan Eltayeb Gadain
doaj   +1 more source

Abstract degenerate Volterra inclusions in locally convex spaces

Electronic Journal of Differential Equations, 2023
In this paper, we analyze the abstract degenerate Volterra integro-differential equations in sequentially complete locally convex spaces by using multivalued linear operators and vector-valued Laplace transform.
Marko Kostic
doaj   +1 more source

The impact of leukocyte‐associated RNA retention on platelet RNA‐based cancer detection

Molecular Oncology, EarlyView.
Platelets carry RNA signals that may help detect cancer, but platelet samples can also retain RNA from white blood cells. We found that this retained white blood cell signal did not significantly affect machine learning cancer classification, suggesting that the cancer‐related RNA signal in platelets is largely independent of leukocyte‐associated RNA ...
Michał Sieczczyński, Krzysztof Pastuszak, Anna Samelak‐Czajka, Zuzanna Cemka, Paulina Jackowiak, Tomasz Stefaniak, Sylwia Łapińska‐Szumczyk, Jacek Jassem, Anna J. Żaczek, Matthew T. Rondina, Myron G. Best, Sjors G. J. G. In 't Veld, Anna Supernat   +12 more
wiley   +1 more source

Extension of the Kantorovich Theorem to Equations in Vector Metric Spaces: Applications to Functional Differential Equations

, 2023
The equation G(x,x)=y˜, where G:X×X→Y, and X,Y are vector metric spaces (meaning that the values of a distance between the points in these spaces belong to some cones E+,M+ of a Banach space E and a linear space M, respectively), is ...
Evgeny Zhukovskiy, Elena Panasenko
core   +1 more source

Strong solutions for differential equations in abstract spaces

Journal of Differential Equations, 2005
The author considers in a sequentially complete locally convex space \((E,{\mathcal F})\) the initial value problem \[ u_t(t)= f(t, u(t)),\quad u(t_0)= u_0. \] The bounded elements of \(E\) are denoted by \[ E_b:= \Biggl\{x\in E:\| x\|_{{\mathcal F}}= \sup_{\rho\in{\mathcal F}}\,\rho(x)< \infty\Biggr\}.
openaire   +1 more source

Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes

FEBS Open Bio, EarlyView.
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard, Emma‐Jayne Proctor, Jiawa Wang, Nikolas P. Johnston, Andrew Hayes, Georgia McCorkell, Haibo Yu, Jai Tree, Mark R. Davies, Mark J. Walker, Ronald Sluyter, Stephan Brouwer, Martina L. Sanderson‐Smith   +12 more
wiley   +1 more source

Differential and stochastic equations in abstract Wiener space

Journal of Functional Analysis, 1973
AbstractThis paper studies the differential equation (∂∂t) u(t, x) = 12trace A(t, x) D2u(t, x) A∗(t, x) + 〈σ(t, x), Du(t, x)〉 − V(x) u(t, x), u(0, x) = φ(x) in infinite dimensional space. A Kac's type representation of solution in terms of function space integral is proved. Kac's method is modified to work nicely regardless of the dimensionality.
openaire   +1 more source

Purification and preparation of Marchantia polymorpha Auxin Response Factor 2 for phase separation studies

FEBS Open Bio, EarlyView.
We describe detailed protocols for the purification and preparation of Marchantia polymorpha Auxin Response Factor 2 (MpARF2). This protein is fused to an MBP solubility tag and an mNG fluorescent tag and is purified from Escherichia coli. The presented procedures make it possible to study MpARF2 assemblies, which could arise from phase separation ...
Bas Janssen, Robin Romein, Willy A. M. van den Berg, Simon Lindhoud, Jan Willem Borst, Carlo P. M. van Mierlo   +5 more
wiley   +1 more source

Solution of fractional differential equations via α−ψ $\alpha-\psi$-Geraghty type mappings

Advances in Difference Equations, 2018
Using fixed point results of α−ψ $\alpha-\psi$-Geraghty contractive type mappings, we examine the existence of solutions for some fractional differential equations in b-metric spaces. By some concrete examples we illustrate the obtained results.
Hojjat Afshari, Sabileh Kalantari, Dumitru Baleanu   +2 more
doaj   +1 more source

Protocol for quantifying miRNA trafficking across the endosomal membrane

FEBS Open Bio, EarlyView.
An in vitro protocol measures miRNA uptake into endosomes isolated from mammalian cell extracts, which are free of subcellular contaminants. Performed at 37 °C in the presence of ATP, it ensures the import of single‐stranded miRNA into the endosomal lumen.
Syamantak Ghosh, Kamalika Mukherjee, Suvendra N. Bhattacharyya   +2 more
wiley   +1 more source